Least Common Multiple of 1467 and 1470
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1467 and 1470 the smallest integer that is 718830 that is divisible by both numbers.
Least Common Multiple (LCM) of 1467 and 1470 is 718830.
LCM(1467,1470) = 718830
LCM of 1467 and 1470
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1467 and 1470 by Prime method
- Least Common Multiple of 1467 and 1470 with GCF Formula
LCM of 1467 and 1470 is 718830
Least common multiple can be found by multiplying the highest exponent prime factors of 1467 and 1470. First we will calculate the prime factors of 1467 and 1470.
Prime Factorization of 1467
| 3 | 1467 |
| 3 | 489 |
| 163 | 163 |
| 1 |
Prime factors of 1467 are 3,163. Prime factorization of 1467 in exponential form is:
1467 = 32×1631
Prime Factorization of 1470
| 2 | 1470 |
| 3 | 735 |
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 1470 are 2, 3, 5,7. Prime factorization of 1470 in exponential form is:
1470 = 21×31×51×72
Now multiplying the highest exponent prime factors to calculate the LCM of 1467 and 1470.
LCM(1467,1470) = 21×32×51×72×1631
LCM(1467,1470) = 718830
Factors of 1467
List of positive integer factors of 1467 that divides 1467 without a remainder.
1, 3, 9, 163, 489, 1467
Factors of 1470
List of positive integer factors of 1470 that divides 1470 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470
Least Common Multiple of 1467 and 1470 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1467 and 1470, than apply into the LCM equation.
GCF(1467,1470) = 3
LCM(1467,1470) = ( 1467 × 1470) / 3
LCM(1467,1470) = 2156490 / 3
LCM(1467,1470) = 718830
Properties of LCM 1467 and 1470
(i) The LCM of 1470 and 1467 is associative
LCM of 1467 and 1470 = LCM of 1470 and 1467
Related Least Common Multiples of 1467
Related Least Common Multiples of 1470
Frequently Asked Questions on LCM of 1467 and 1470
1. What is the LCM of 1467 and 1470?
Answer: LCM of 1467 and 1470 is 718830.
2. What are the Factors of 1467?
Answer: Factors of 1467 are 1, 3, 9, 163, 489, 1467. There are 6 integers that are factors of 1467. The greatest factor of 1467 is 1467.
3. What are the Factors of 1470?
Answer: Factors of 1470 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470. There are 24 integers that are factors of 1470. The greatest factor of 1470 is 1470.
4. How to Find the LCM of 1467 and 1470?
Answer:
Least Common Multiple of 1467 and 1470 = 718830
Step 1: Find the prime factorization of 1467
1467 = 3 x 3 x 163
Step 2: Find the prime factorization of 1470
1470 = 2 x 3 x 5 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 718830 = 2 x 3 x 3 x 5 x 7 x 7 x 163
Step 4: Therefore, the least common multiple of 1467 and 1470 is 718830.